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Finding the Fourth Proportional to 632,114.32, 947,728.56 and 232,703.12

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Solution

The fourth proportional to 632,114.32, 947,728.56 and 232,703.12 is: 348,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,114.32 : 947,728.56 = 232,703.12 : x
  2. Step 2: Convert to fraction form
    632,114.32/947,728.56 = 232,703.12/x
  3. Step 3: Cross multiply
    632,114.32x = 947,728.56 × 232,703.12
  4. Step 4: Simplify right side
    632,114.32x = 220,539,392,825.11
  5. Step 5: Solve for x
    x = 220,539,392,825.11/632,114.32
  6. Step 6: Final answer
    x = 348,891.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.